MinT - Information on Result #1021225

Information on Result #1021225

Linear OOA(4²²³, 80, F₄, 3, 155) (dual of [(80, 3), 17, 156]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴⁵, 20, F₄, 3, 38) (dual of [(20, 3), 15, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁵, 21, F₄, 3, 38) (dual of [(21, 3), 18, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4⁵⁸, 20, F₄, 3, 51) (dual of [(20, 3), 2, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁸, 21, F₄, 3, 51) (dual of [(21, 3), 5, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21 (see above)
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code) (see above)

Mode: Constructive and linear.

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